GATE CE Fluid Mechanics PYQs & Answers — Page 3

Questions 21–30 of 49. Imported answers require independent review unless marked reviewed.

The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is

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A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m

, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is

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A fluid flowing steady in a circular pipe of radius

has a velocity that is everywhere parallel to the axis (centerline) of the pipe. The velocity distribution along the radial direction is

, where

is the radial distance as measured from the pipe axis and

is the maximum velocity at

. The average velocity of the fluid in the pipe is

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A fire hose nozzle directs a steady stream of water of velocity 50 m/s at an angle of 45° above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and inviscid. Consider the density of air and the air friction as negligible, and assume the acceleration due to gravity as 9.81 m/s². The maximum height (in m, round off to two decimal places) reached by the stream above the hose nozzle will then be

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A cylinder (2.0 m diameter, 3.0 m long and 25 kN weight) is acted upon by water on one side and oil (specific gravity = 0.8) on other side as shown in the figure.

The absolute ratio of the net magnitude of vertical forces to the net magnitude of horizontal forces (round off to two decimal places) is ________.

Diagram for Civil Engineering question 49

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A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of 20 cm diameter.

Assume g = 9.8 m/s

. When the deflection in the mercury manometer is 15 cm, the flow rate (in lps, round off to two decimal places) considering no loss in the venturimeter is

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A body floating in a liquid is in a stable state of equilibrium if its

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metacentre lies above its centre of gravity

metacentre lies below its centre of gravity

metacentre coincides with its centre of gravity

centre of gravity is below its centre of buoyancy

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Uniform flow with velocity U makes an angle θ with the y-axis, as shown in the figure

Diagram for Civil Engineering question 14

. The velocity potential (Φ), is

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±U(x sin θ + y cos θ)

±U(y sin θ − x cos θ)

±U(x sin θ − y cos θ)

±U(y sin θ + x cos θ)

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The velocity components in the x and y directions for an incompressible flow are given as

and

, respectively. The equation of the streamline is

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Velocity distribution in a boundary layer is given by

, where

is the velocity at vertical coordinate

is the free stream velocity and

is the boundary layer thickness. The values of

and

are 0.3 m/s and 1.0 m, respectively. The velocity gradient

(in s

, round off to two decimal places) at

, is ____________.

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GATE CE Fluid Mechanics PYQs

Question 12

Question 23

Question 32

Question 40

Question 49

Question 49

Question 13

Question 14

Question 15

Question 24